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xxTIMURxx [149]
3 years ago
8

Alex buys a top of the line computer. He did not realize that the computer would lose value so fast. If his computer cost $1800.

00 and it depreciates at a rate of 45% each year, in how many years will it be worth less than 1/3 of what he paid for it?
Mathematics
1 answer:
Natali [406]3 years ago
3 0

This can be solve by using the formula

D = P( 1 – i)^n

Where d is the depreciation value after n years

P is the initial value

i is the depreciation rate

n is the years

D = 1/3 ( 1800)

D = 600

So

600 = 1800 ( 1- 0.45)^n

Solve for n

<span>N = 1.83 years</span>

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Answer:

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Step-by-step explanation:

We are given;

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The second term of the sequence is;

S₂ = h₀ + 2h₀(r¹+r²)

S₂ = 30 + (2 × 30 × (0.25 + 0.25²)) = 48.75

The third term of the sequence is;

S₃ = h₀ + 2h₀(r¹ + r² + r³) = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³)) = 49.6875

S₄ = h₀ + 2h₀(r¹ + r² + r³ + r⁴)

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B) The general expression for the nth term of the sequence is;

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